基于极限分析上限定理,考虑土体材料的非相关联流动特性,对预应力锚杆下台阶式边坡的安全系数进行了研究。利用对数螺旋线形状的旋转破坏机构,基于修正的土体强度参数,计算了土体的重力功率与内能耗散,并将锚杆的锚固力视为边坡表面的集中力,求得其重力功率。利用内外功率相等原理,得出了边坡的安全系数上限解答。并分析了不同影响因素对边坡安全性的影响。结果表明:锚杆根数及锚杆锚固段长度对边坡的安全系数有较大影响,而关联流动法则的影响也不可忽视。 Based on the upper bound theorem of limit analysis and considering the non-correlated flow characteristics of soil materials, the safety factor of the stepped slope under prestressed anchorage is studied. Based on the modified soil strength parameters, the gravity power and internal energy dissipation of the soil are calculated by using the rotational damage mechanism of logarithmic spiral shape, and the anchor force of the rock bolt is regarded as the concentrated force of the slope surface, Its gravity power. Using the principle of equal internal and external power, the upper bound of safety factor of slope is obtained. The influence of different influencing factors on slope safety is also analyzed. The results show that the number of anchors and the length of bolt anchorage have a significant influence on the safety factor of slope, and the influence of associated flow law can not be neglected.